The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints

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Main Authors: Goswami, Sagar Tirtha, Chakraborty, Pralay, Roy, Subhankar
Format: Preprint
Published: 2026
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author Goswami, Sagar Tirtha
Chakraborty, Pralay
Roy, Subhankar
author_facet Goswami, Sagar Tirtha
Chakraborty, Pralay
Roy, Subhankar
contents A minimal and predictive neutrino mass matrix texture for Majorana neutrino is proposed. The texture favours the normal hierarchy of neutrino mass eigenvalues. It further predicts the octant of $θ_{23}$, constraints $δ$, gives bounds on neutrino mass eigenvalues and also gives ranges for the two Majorana phases.The texture is realised in the framework of a Type-I seesaw and a Weinberg like dimension 6 operator under an extended symmetry of $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_{10} \otimes Z_7 \otimes Z_5 \otimes Z_3$. The texture can be realised with different sets of vacuum expectation values of the associated scalar fields, but not all such sets lead to a viable scalar sector. The model also constrains the allowed channels of charged lepton flavour violation and leads to a suppressed baryon asymmetry generation through conventional leptogenesis.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18154
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints
Goswami, Sagar Tirtha
Chakraborty, Pralay
Roy, Subhankar
High Energy Physics - Phenomenology
A minimal and predictive neutrino mass matrix texture for Majorana neutrino is proposed. The texture favours the normal hierarchy of neutrino mass eigenvalues. It further predicts the octant of $θ_{23}$, constraints $δ$, gives bounds on neutrino mass eigenvalues and also gives ranges for the two Majorana phases.The texture is realised in the framework of a Type-I seesaw and a Weinberg like dimension 6 operator under an extended symmetry of $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_{10} \otimes Z_7 \otimes Z_5 \otimes Z_3$. The texture can be realised with different sets of vacuum expectation values of the associated scalar fields, but not all such sets lead to a viable scalar sector. The model also constrains the allowed channels of charged lepton flavour violation and leads to a suppressed baryon asymmetry generation through conventional leptogenesis.
title The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.18154